New results on stability and stabilisation of systems with interval time-varying delay

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Zhang, J, Xia, Yuanqing, Shi, Peng and Mahmoud, Magdi S (2011) New results on stability and stabilisation of systems with interval time-varying delay. IET Control Theory and Applications, 5 (3). pp. 429-436. ISSN 1751-8644


This study is concerned with the stability and stabilisation for systems with interval time-varying delay. First, by appropriately choosing Lyapunov functional and using Finsler’s lemma, a new delay-dependent stability criteria involving the minimum and maximum delay bounds is obtained. Second, new results for delay-dependent stabilisation of systems with interval time-varying delay are provided on the basis of a linear matrix inequality (LMI) framework. Both state- and observerbased output feedback controllers are designed. Differing existing design approach of observer-based controller, a single-step approach is proposed to overcome the drawback of the two-step LMI approach often encountered in the literature, and the conditions are also delay dependent. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

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Item type Article
DOI 10.1049/iet-cta.2009.0560
Official URL
Subjects Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0906 Electrical and Electronic Engineering
Historical > SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Keywords ResPubID21759, Finsler lemma, Lyapunov functional, delay dependent stabilisation, delay dependent stability criteria, interval time varying delay, linear matrix inequality, maximum delay bounds, minimum delay bounds, observer based output feedback controller, single step approach, state based output feedback controller
Citations in Scopus 29 - View on Scopus
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